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Finding the Fourth Proportional to 15,783.12, 21,780.48 and 8,709.36

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Solution

The fourth proportional to 15,783.12, 21,780.48 and 8,709.36 is: 12,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.12 : 21,780.48 = 8,709.36 : x
  2. Step 2: Convert to fraction form
    15,783.12/21,780.48 = 8,709.36/x
  3. Step 3: Cross multiply
    15,783.12x = 21,780.48 × 8,709.36
  4. Step 4: Simplify right side
    15,783.12x = 189,694,041.29
  5. Step 5: Solve for x
    x = 189,694,041.29/15,783.12
  6. Step 6: Final answer
    x = 12,018.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.